Asynchronous Weak Secret Sharing Sample Clauses

Asynchronous Weak Secret Sharing. (AWSS) An AWSS protocol consists of two sub-protocols: a sharing protocol (WSh), where the dealer shares a secret and a re- construction protocol (WRec), where the parties reconstruct the shared secret. The Termination and the Secrecy condi- tions of AVSS (see Definition 2) remain the same for AWSS, except that Sh is replaced by WSh and Rec is replaced by WRec. The Correctness condition of AVSS also remains the same for AWSS for the case when D is honest; however, the Correctness condition is “weakened” in AWSS for the case when D is corrupted as follows: If an honest party terminates WSh then a value, say Definition 3 (Asynchronous Weak Commitment (AWC)) Let (Com, Decom) be a pair of protocols for the n parties, where a Committer has a private input s F for Com (the secret to be committed). In the protocol Decom, Committer has a private input sy (the secret to be decommit- xxx)10 and all the parties upon terminating Decom either out- put sy or . Then (Com, Decom) is a (1 s)-AWC scheme, for an allowed error parameter s (where s > 0), if the fol- lowing requirements hold for every possible Adv: − ⊥ −
Sample 1
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Asynchronous Weak Secret Sharing. (AWSS) Like AVSS, an AWSS protocol also consists of two pro- tocols: a sharing protocol (called WSh), where the dealer shares a secret and a reconstruction protocol (called WRec), where the parties reconstruct the secret from its shares. An AWSS protocol also has three properties, namely Termina- tion, Correctness and Secrecy. The Termination and the Secrecy conditions are the same as for the AVSS (see Def- inition 2), except that Sh is replaced by WSh and Rec is replaced by WRec. The Correctness condition is also the same as for the AVSS for the case when the dealer is honest; however, the Correctness condition is weakened in AWSS for the case when the dealer is corrupted as follows: If an honest party terminates WSh then a value, say s ∈ F ∪ {⊥} is fixed. Moreover, with probability at least (1 − s), each honest party will output either s or ⊥ at the end10 of WRec.
Sample 1

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